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Finding the Fourth Proportional to 281,527.89, 422,291.72 and 113,048.17

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Solution

The fourth proportional to 281,527.89, 422,291.72 and 113,048.17 is: 169,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,527.89 : 422,291.72 = 113,048.17 : x
  2. Step 2: Convert to fraction form
    281,527.89/422,291.72 = 113,048.17/x
  3. Step 3: Cross multiply
    281,527.89x = 422,291.72 × 113,048.17
  4. Step 4: Simplify right side
    281,527.89x = 47,739,305,379.04
  5. Step 5: Solve for x
    x = 47,739,305,379.04/281,527.89
  6. Step 6: Final answer
    x = 169,572.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.